https://file.aiquickdraw.com/mathbot/file/1727306717696rdc3d4a7.jpg

The problem given in the image can be translated as follows:

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**Problem:**

An airplane flies at a speed of 200 km/h in the first hour. In the subsequent hours, its speed is reduced to \( 1 \frac{1}{2} \) (which is \( 1.5 \)) times the speed of the previous hour. Determine the total distance covered by the airplane in the first 4 hours.

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### Solution:

1. **First Hour:**
   - Speed: 200 km/h
   - Distance covered: \( 200 \, \text{km} \)

2. **Second Hour:**
   - Speed: \( 200 \times \frac{1}{1.5} = \frac{200}{1.5} = 133.33 \, \text{km/h} \)
   - Distance covered: \( 133.33 \, \text{km} \)

3. **Third Hour:**
   - Speed: \( 133.33 \times \frac{1}{1.5} = \frac{133.33}{1.5} = 88.89 \, \text{km/h} \)
   - Distance covered: \( 88.89 \, \text{km} \)

4. **Fourth Hour:**
   - Speed: \( 88.89 \times \frac{1}{1.5} = \frac{88.89}{1.5} = 59.26 \, \text{km/h} \)
   - Distance covered: \( 59.26 \, \text{km} \)

### Total Distance Covered in 4 Hours:
Now, we sum all the distances covered in the 4 hours:
\[
\text{Total Distance} = 200 + 133.33 + 88.89 + 59.26 = 481.48 \, \text{km}
\]

So, the total distance covered in the first 4 hours is **481.48 km**.

Would you like more details, or do you have any questions?

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Here are 5 related questions you can explore:

1. How does the distance change if the speed decreases by a different factor in each hour?
2. How long would it take for the plane to travel 1000 km with the same pattern of decreasing speed?
3. What if the speed decreases by 25% each hour instead of by 1.5 times? How would the total distance change?
4. How can we generalize this calculation for an arbitrary number of hours?
5. What would be the total distance if the plane maintained a constant speed throughout the trip?

**Tip:** Understanding how sequences work can help you solve problems involving repeating patterns like speed reduction over time.

Pesawat terbang melaju dengan kecepatan 200 km/jam pada jam pertama. Kecepatan pada jam berikutnya 1 1/2 kali dari kecepatan sebelumnya. Tentukan panjang lintasan seluruhnya dalam 4 jam pertama.

Solve a problem where an airplane's speed reduces by a factor of 1.5 each hour, starting at 200 km/h. Learn the step-by-step approach to calculating the total distance covered in 4 hours using geometric sequences.

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